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4 years ago

Find the missing part for A, Y, Z, and B.

Mathematics

1 answer:

matrenka [14]4 years ago

7 0

All (3) of the triangles are similar to one another, and they have the 30-60-90 interior-angle pattern. This allows us to establish the following relations.

$a+b=2x\implies x=\dfrac{15}2$

$z=\sqrt3\,x\implies z=\dfrac{15\sqrt3}2$

$\dfrac ax=\dfrac x{a+b}\implies a(a+b)=x^2\implies15a=\dfrac{15^2}{2^2}\implies a=\dfrac{15}4$

$a+b=15\implies b=15-\dfrac{15}4=\dfrac{45}4$

$y=\sqrt3\,a\implies y=\dfrac{15\sqrt3}4$

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Tara and Levi are trying to decide between homeowners insurance policies offered by two different agencies. AAA Insurance has of

nlexa [21]

Given:
House valued at $ 425,000
AAA Insurance: $0.38 per 100 with a $500 deductible
425,000 / 100 = 4,250
4,250 x 0.38 = 1,615 annual premium

Thompson’s insurance: $0.26 per 100 with a $1000 deductible
425,000 / 100 = 4,250
4,250 x 0.26 = 1,105 annual premium
If an incident occurs that results to damage or loss to their home, the couple shall shell out 500 before AA Insurance can take over payment for expenses. On the other hand, the couple will shoulder 1,000 before Thompson’s insurance take over payment for expenses in the event there is an incident that results to damage or loss to their home.

c. Thompson’s Insurance is cheaper even if Tara and Levi experience an incident that results in severe damage or loss to their home.

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3 years ago

Read 2 more answers

Suppose you drive for 60 miles at 60 miles per hour, then for 60 miles at 30 miles per hour. in miles per hour what is your aver

GrogVix [38]

You drove for half the time at 60mph and the other half the time at 30mph.

To find your average speed, we add 60 and 30 then divide them by two (because you drove at 2 different speeds). 60+30 = 90 and 90/2 = 45 so 45 miles per hour is your average speed.

Note: Velocity implies a direction to the force and there is no direction in this question, just speed. Without direction we cannot use velocity, only speed.

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3 years ago

Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered fo

nika2105 [10]

Answer:

20 Pizza

Step-by-step explanation:

Let the number of vegetable pizza be x

Given that

Manuel ordered four times as many cheese pizzas as vegetable pizzas

the number of cheese pizza = 4x

1. no of slice in 1 vegetable pizza pie = 6

no of slice in x vegetable pizza pie = 6x

2. no of slice in 1 cheese pizza pie = 8

no of slice in 4x cheese pizza pie = 8*4x = 32x

Total no of slice for x vegetable pizza and 4x cheese pizza = 6x+32x = 38x

Given that

total no. of 152 slices, therefore

38x = 152

=> x = 152/38 = 4

Thus, no. of vegetable pizza ordered = 4

no. of cheese pizza ordered = 4x = 4*$ = 16

Total no of pizza ordered = 16+4 = 20 (answer)

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3 years ago

Help me pls

aksik [14]

Answer:

We know that Amber decided to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, and after this, the function representing the photo shares is:

f(x) = 3*(4)^x + 45

We do not know the initial function, but with the given information we can assume that the original equation is:

g(x) = 3*(4)^x

Then the new function is:

f(x) = g(x) + 45.

This is a vertical translation, remember that for a function h(x), a vertical translation of N units is written as:

k(x) = h(x) + N

if N is positive, we have a translation of N units up

if N is negative, we have a translation of N units down.

in this case we have;

f(x) = g(x) + 45

This means that f(x) is a vertical translation of 45 units of g(x), then: